Maqqii A balanced network of maths skills for primary school children Maths practice

Multiplication to 30

Multiplication to 30 practice, from 6 × 4 to 2 × 12 = 24 and 1000 × 300: doubling 11 to 15, partitioning, then times and divide mixed.

Your child can start here once they can multiply up to 20 and divide up to 20; the later exercises also need division up to 30. Sums like 2 × 12 are in no table, so they are built from pieces your child already knows, and their division partners such as 24 ÷ 6 only come quickly if dividing is familiar ground.

Usually taught in Year 2–3 in England and Wales, around ages 6 to 8. Every child goes at their own pace; this is a guide, not a requirement.

  • 15→30
  • 13→26

The first of 11 exercises in this topic. See them all

What it looks like for your child

With one exercise from this topic as the example: Double.

1 The topic's page has the next exercise ready.
The topic's page has the next exercise ready.
2 Your child plays a round of 10 sums.
Your child plays a round of 10 sums.
3 No mistakes and in time: the exercise is done, and it earns wood for the village.
No mistakes and in time: the exercise is done, and it earns wood for the village.
4 The same page, a round later: the next exercise is ready.
The same page, a round later: the next exercise is ready.

How it fits together

The arrows point to what can be done next. Whatever sits inside a box belongs to it.

first this, then that belongs to

  • 15→30
  • 13→26

Times 2: double 11 to 15.

  • 10×3=30
  • 9×3=27

Split the big number: 2 × 13 = 2 × 10 + 2 × 3.

  • 14→28
  • 11→22

Doubling backwards is halving: ? → 28, so half of 28.

  • 2×12=24
  • 9×3=27

A race against time, for children who can already do it and want to be faster.

  • 6×4=24
  • 7×4=28

Dividing is the table backwards: 24 ÷ 3 — what times 3 makes 24?

  • 4×6=24
  • 6×5=30

The same sums, but a different number missing each time: the result or one of the two numbers.

  • 6×4=24
  • 9×3=27

30 sums in a row, everything mixed: the real test.

  • 24÷6=4
  • 10×3=30

Against the clock: how many can your child do in sixty seconds?

  • 1000×300=300000
  • 80×30=2400

The same sums to 30, with zeros on the end: if you know 8 × 2 = 16, you also know 80 × 2 = 160 and 80 × 20 = 1600.

  • 5×5=25
  • 5×6=30

Which two numbers give this result? The order does not matter.

  • 4×6=24
  • 20×13=260

Everything in this topic in one round of 30 sums.

Why it matters

Up to 30, sums appear that are not in any of the tables from 1 to 10, such as 2 × 14. Your child cannot pull these from memory; they have to be worked out cleverly. That shifts practice from remembering to reasoning.

The rounds with tens and hundreds reach well into the thousands. 3 × 4 = 12 and 300 × 40 = 12000 follow the same pattern; only the zeros are different. Once a child sees that, a sum with a long tail of zeros is no longer frightening.

How to approach it

The key is partitioning: split the big number into tens and ones. 2 × 14 becomes 2 × 10 and 2 × 4, which together make 20 + 8 = 28. At first, have your child write the two parts underneath each other so nothing gets lost.

For the division sums, a question helps: how many times does 4 go into 28? If your child can answer that, they will see straight away why 28 ÷ 4 = 7 and 7 × 4 = 28 are about the same thing.

When is it secure?

All 10 right in one round, and no more than 30 seconds altogether. Around 3 seconds a sum shows your child is no longer counting.